A data systems specialist makes $27 an hour for the first 40 hours she works during a week and $35 an hour for each hour over 40 hours. Which piecewise equation models her total weekly pay y in dollars as it relates to the number of hours x that she has worked during the week?

Question

Eaton

Mathematics

9 October, 18:34

A data systems specialist makes $27 an hour for the first 40 hours she works during a week and $35 an hour for each hour over 40 hours. Which piecewise equation models her total weekly pay y in dollars as it relates to the number of hours x that she has worked during the week?

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Rudy · Answer 1

A data systems specialist earns the following:

$27 an hour for the first 40 hours she works during a week

$35 an hour for each hour over 40 hours.

Let; s show the expression she can use to keep track of her earning.

Let x = first 40 hours

And y be the next hours over 40

=> 27 dollars (40) + 35 (y)